What is the Greatest Common Factor of 18200 and 18219?

Greatest common factor (GCF) of 18200 and 18219 is 1.

GCF(18200,18219) = 1

We will now calculate the prime factors of 18200 and 18219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18200 and 18219.

How to find the GCF of 18200 and 18219?

We will first find the prime factorization of 18200 and 18219. After we will calculate the factors of 18200 and 18219 and find the biggest common factor number .

Step-1: Prime Factorization of 18200

Prime factors of 18200 are 2, 5, 7, 13. Prime factorization of 18200 in exponential form is:

18200 = 2³ × 5² × 7¹ × 13¹

Step-2: Prime Factorization of 18219

Prime factors of 18219 are 3, 6073. Prime factorization of 18219 in exponential form is:

18219 = 3¹ × 6073¹

Step-3: Factors of 18200

List of positive integer factors of 18200 that divides 18200 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 25, 26, 28, 35, 40, 50, 52, 56, 65, 70, 91, 100, 104, 130, 140, 175, 182, 200, 260, 280, 325, 350, 364, 455, 520, 650, 700, 728, 910, 1300, 1400, 1820, 2275, 2600, 3640, 4550, 9100

Step-4: Factors of 18219

List of positive integer factors of 18219 that divides 18200 without a remainder.

1, 3, 6073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18200 and 18219. The biggest common factor number is the GCF number.
So the greatest common factor 18200 and 18219 is 1.

Also check out the Least Common Multiple of 18200 and 18219